A theorem concerning Ditkin's condition
Larsen, R. (1971)
Portugaliae mathematica
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Larsen, R. (1971)
Portugaliae mathematica
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Leonard Yap (1970)
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Domokos, M., Popov, A. (1997)
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K. Izuchi (1980)
Colloquium Mathematicae
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Yngve Domar (1982)
Banach Center Publications
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Keiji Izuchi (1976)
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Jun, Young Bae, Öztürk, Mehmet Ali, Roh, Eun Hwan (2010)
International Journal of Mathematics and Mathematical Sciences
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A. Suliński (1966)
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M. Benslimane, N. Boudi (1997)
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Sinclair and Tullo [6] proved that noetherian Banach algebras are finite-dimensional. In [3], Grabiner studied noetherian Banach modules. In this paper, we are concerned with alternative noetherian Banach algebras. Combining techniques from [3] with techniques and the result from [6], we prove that every alternative noetherian Banach algebra is finite-dimensional.
W. Żelazko (1972)
Studia Mathematica
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